Home / 1,967.28-2,714.88-1,083.16

Finding the Fourth Proportional to 1,967.28, 2,714.88 and 1,083.16

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Solution

The fourth proportional to 1,967.28, 2,714.88 and 1,083.16 is: 1,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.28 : 2,714.88 = 1,083.16 : x
  2. Step 2: Convert to fraction form
    1,967.28/2,714.88 = 1,083.16/x
  3. Step 3: Cross multiply
    1,967.28x = 2,714.88 × 1,083.16
  4. Step 4: Simplify right side
    1,967.28x = 2,940,649.42
  5. Step 5: Solve for x
    x = 2,940,649.42/1,967.28
  6. Step 6: Final answer
    x = 1,494.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.